Rational points on elliptic curves [chapter]

1999 Translations of Mathematical Monographs  
E11iptic curves are a fundamenta1 field of mathematica1 research today. This thesis discusses them as Diophantine equations, giving same of the e1ementary resu1ts and methods used in studying them, and provides an introduction to the subject for those Who wiâh to continue. It is concerned main1y with the methods used in finding solutions of same e11iptic Diophantine equations and touches upon same other prob1ems re1ating to them. It can be read by anyone with a background in group theory and
more » ... group theory and a1gebraic number theory. A the si s submi tted to the Facul. ty of Gradua te Studies and Research in partial fulfUmen t of the requirements Bor the Degree of Master of Science.
doi:10.1090/mmono/186/02 fatcat:7jqpn5vugrffvbl7nv3cdieazi